The decomposition method for solving higher dimensional initial boundary value problems of variable coefficients

In this paper, we discuss the higher dimensional initial boundary value pro blems of variable coefficients. Our approach rests mainly on Adomian decomp osition method to construct the analytic solutions for these equations. The method is quite efficient and is practically well suited for use in these problems. The analysis is accompanied by numerical examples. The obtained r esults demonstrate the reliability and the efficiency of the method.